In mathematics, the Weinstein–Aronszajn identity states that if A {\displaystyle A} and B {\displaystyle B} are matrices of size m × n and n × m respectively...

{A}}_{v}^{u}).} When m = 2, this is the Desnanot–Jacobi identity (Jacobi, 1851). Weinstein–Aronszajn identity, which is sometimes attributed to Sylvester Sylvester...

inverses can be combined to provide the simple factorization By the Weinstein–Aronszajn identity, one of the two matrices in the block-diagonal matrix is invertible...

representation of the sum of three vectors of equal length The Weinstein–Aronszajn identity, stating that det(I + AB) = det(I + BA), for matrices A, B, is...

ix}{I}&-{B}{D}^{-1}\\-{C}{A}^{-1}&{I}\end{bmatrix}}.} By the Weinstein–Aronszajn identity, one of the two matrices in the block-diagonal matrix is invertible...

n {\displaystyle \mathbf {A} =\mathbf {I_{n}} } this is the Weinstein–Aronszajn identity. Given additionally an invertible m-by-m matrix W, the relationship...

Prize (2001) Siegfried Aronhold (1819–1884), invariant theory Nachman Aronszajn (1907–1980), mathematical analysis and mathematical logic Kenneth Arrow...